• DocumentCode
    1365612
  • Title

    A comment on “Comments on `Necessary and sufficient condition for absolute stability of neural networks´”

  • Author

    Arik, Sabri ; Tavsanoglu, Vedat

  • Author_Institution
    Dept. of Electron., Istanbul Univ., Turkey
  • Volume
    45
  • Issue
    5
  • fYear
    1998
  • fDate
    5/1/1998 12:00:00 AM
  • Firstpage
    595
  • Lastpage
    596
  • Abstract
    This letter points out that a new majorization of the derivative of the Lyapunov function used in the above letter [see ibid., vol.42, p.497-9, 1995] gives a new, weaker condition on the interconnection matrix that is sufficient for the global asymptotic stability (GAS) of the equilibrium point for dynamical neural networks. The result also includes some earlier results derived in the literature
  • Keywords
    absolute stability; asymptotic stability; neural nets; Lyapunov function; absolute stability; equilibrium point; global asymptotic stability; interconnection matrix; majorization; neural networks; Asymptotic stability; Circuits; Eigenvalues and eigenfunctions; Lyapunov method; Neural networks; Sufficient conditions; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.668877
  • Filename
    668877